A Thesis Submitted to Council of the college of Administration and Economics at the University of Karbala It is part of the requirements for obtaining a master’s degree in statistics

By
OSAMAH ABDULAZEEZ KADHIM
Supervised By
Prof. Dr.Abdul Hussain H. H. al-Tai

Abstract

 This research aims is estimating the reliability function of the two-paramete Weibull failured Distribution, under type-II-Censored data, the time of operation of the machine until the Malfunction, and four methods were chosen to estimate the reliability function, which are the maximum likelihood method, Method of moments, Mix Method, the Ordinary Least Square Method,  the experimental side using the Mont-Carlo method used to generate observations of different sample sizes (100,50,25) and by assuming that parameter values of ((75,50.25) and the β parameter (2.7.1.7)

and then calculating the values of the default reliability function and the values of the estimated reliability function. The researcher reached the preference of the mixed method compared with the other methods, tthe practical side in wich the value of the reliability function for real data for the machines of the general company for the textile and leather industry in Baghdad – Sufiya factory one of the formations of the Ministry of Industry and Minerals and the researcher reached the preference of mixed method as well as of the others,  The program used to calculate the reliability function is a program built in Matlab language and both experimental and applied.